Komatsu Kotaro 小松孝太郎

… Alternative Names

KOMATSU Kotaro 小松孝太郎

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Researcher Number	40578267
Other IDs
Affiliation (Current)	2025: 筑波大学, 人間系, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 筑波大学, 人間系, 准教授 2014 – 2020: 信州大学, 学術研究院教育学系, 准教授 2016: 信州大学, 教育学部, 准教授 2011 – 2013: 信州大学, 教育学部, 准教授 2010: 信州大学, 教育学部, 助教
Review Section/Research Field	Principal Investigator Education on school subjects and activities / Basic Section 09040:Education on school subjects and primary/secondary education-related / Medium-sized Section 9:Education and related fields Except Principal Investigator Education on school subjects and activities / Basic Section 09040:Education on school subjects and primary/secondary education-related / Science education
Keywords	Principal Investigator 数学教育 / 教材開発 / 数学的探究 / 証明 / 協働型探究活動 / 教材開発原理 / 教師教育 / 探究 / 協働 / 前提追究 … More / 算数・数学 / 動的幾何ソフト / 動的幾何ソフトウェア / 教材系列 / 演繹的推量による内容の増加 / 発見法的規則 / ラカトシュ / 反例 / 論駁 / 操作的証明 … More Except Principal Investigator カリキュラム / 中学校 / 課題探究 / 数学科 / 数学 / 学習環境開発 / テクノロジー / 算数・数学教育 / 学習指導 / 学習指導法 / 説明・証明 / 数学教育 / 課題解決 / 評価 / ユニバーサルデザイン / 評価法 / 課題解決型説明 / 教科固有性 / 教師による評価 / 非認知的スキル / 説明 / 課題探求 / 証明 / Webサイト / 探究的な学習 / 空間図形 / 3次元動的幾何ソフト Less

数学科教師教育における教材開発原理の活用とその検証：協働型探究活動に焦点を当ててPrincipal Investigator
- Principal Investigator
  
  小松孝太郎
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 09040:Education on school subjects and primary/secondary education-related
- Research Institution
  University of Tsukuba
The study on the development and evaluation of hybrid learning environments in mathematics
- Principal Investigator
  
  藤田太郎
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 09040:Education on school subjects and primary/secondary education-related
- Research Institution
  Shinshu University
Developing principles of task design for promoting students' collaborative mathematical inquiry in school mathematicsPrincipal Investigator
- Principal Investigator
  
  Komatsu Kotaro
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 09040:Education on school subjects and primary/secondary education-related
- Research Institution
  University of Tsukuba
  Shinshu University
Development of task design principles for promoting mathematical activity involving assumptions in school mathematicsPrincipal Investigator
- Principal Investigator
  
  Komatsu Kotaro
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 9:Education and related fields
- Research Institution
  University of Tsukuba
  Shinshu University
Universal Designing of Explorative Curriculum and Evaluation
- Principal Investigator
  
  Iwanaga Yasuo
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Design of task sequences for collaborative mathematical inquiry with dynamic geometry environmentPrincipal Investigator
- Principal Investigator
  
  KOMATSU Kotaro
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Development of Teaching Method based on Curriculum of Explorative Proving and their Verification by Scientific Evidence
- Principal Investigator
  
  Shimizu Shizumi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Science education
- Research Institution
  Teikyo University
Development and Feasibility of Curriculum for Explorative explanation based on Scientific Evidences
- Principal Investigator
  
  IWANAGA Yasuo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Construction of framework for describing students' activity of proofs and refutations in mathematical learningPrincipal Investigator
- Principal Investigator
  
  KOMATSU Kotaro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Development and Realization of Curriculum for Explorative Proving in Secondary School Mathematics
- Principal Investigator
  
  MIYAZAKI Mikio
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Development of teaching materials for facilitating students' action proof in mathematical inquiryPrincipal Investigator
- Principal Investigator
  
  KOMATSU Xingkotaro
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University
Developing Websites of Explorative Learning for Space Geometry with Three Dimensional Dynamic Geometry Software
- Principal Investigator
  
  IWANAGA Yasuo
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Shinshu University

[Book] B. Pepin, G. Gueudet, & J. Choppin (Eds.), Handbook of digital resources in mathematics education (Intertwined use of physical and digital tools in mathematics teaching and learning)2023
- Author(s)
  Komatsu, K., & Fujita, T.
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] M. Danesi (Ed.), Handbook of cognitive mathematics (Teaching and learning authentic mathematics: The case of proving)2022
- Author(s)
  Stylianides, A. J., Komatsu, K., Weber, K., & Stylianides, G. J.
- Total Pages
  1406
- Publisher
  Springer
- ISBN
  3031039440
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] M. Danesi (Ed.), Handbook of cognitive mathematics (Teaching and learning authentic mathematics: The case of proving)2022
- Author(s)
  Stylianides, A. J., Komatsu, K., Weber, K., & Stylianides, G. J.
- Total Pages
  1406
- Publisher
  Springer
- ISBN
  3031039440
- Data Source
  KAKENHI-PROJECT-19H01668
[Book] 礒田正美・影山和也（編著），『中等数学科教育（新・教職課程演習第19巻）』（Q31 数学的な見方・考え方および態度とは何かを述べなさい，Q32 中学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい，Q33 高等学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい）2021
- Author(s)
  小松孝太郎
- Total Pages
  201
- Publisher
  協同出版
- ISBN
  4319003608
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] 礒田正美・影山和也（編著），『中等数学科教育（新・教職課程演習第19巻）』（Q31 数学的な見方・考え方および態度とは何かを述べなさい，Q32 中学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい，Q33 高等学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい）2021
- Author(s)
  小松孝太郎
- Total Pages
  201
- Publisher
  協同出版
- ISBN
  4319003608
- Data Source
  KAKENHI-PROJECT-19H01668
[Book] 蒔苗直道・松浦武人（編著），『初等算数科教育（新・教職課程演習第13巻）』（Q11 算数科で用いる記号や式について説明しなさい，Q14 空間観念の育成とはどのようなことか説明しなさい，Q27 図形の求積公式の指導について説明しなさい）2021
- Author(s)
  小松孝太郎
- Total Pages
  201
- Publisher
  協同出版
- ISBN
  4319003543
- Data Source
  KAKENHI-PROJECT-19H01668
[Book] 蒔苗直道・松浦武人（編著），『初等算数科教育（新・教職課程演習第13巻）』（「Q11算数科で用いる記号や式について説明しなさい，Q14空間観念の育成とはどのようなことか説明しなさい，Q27図形の求積公式の指導について説明しなさい」の執筆）2021
- Author(s)
  小松孝太郎
- Total Pages
  201
- Publisher
  協同出版
- ISBN
  4319003543
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] 礒田正美・影山和也（編著），『中等数学科教育（新・教職課程演習第19巻）』（「Q31数学的な見方・考え方および態度とは何かを述べなさい，Q32中学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい，Q33高等学校数学科の問題解決において数学的な見方・考え方が働く場面を示しなさい」の執筆）2021
- Author(s)
  小松孝太郎
- Publisher
  協同出版
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] G. Hanna, D. A. Reid, & M. de Villiers (Eds.), Proof technology in mathematics research and teaching (Virtual manipulatives and students’ counterexamples during provingの執筆)2019
- Author(s)
  Komatsu, K., & Jones, K.
- Total Pages
  379
- Publisher
  Springer
- ISBN
  9783030284831
- Data Source
  KAKENHI-PROJECT-16H02068
[Book] G. Hanna, D. A. Reid, & M. de Villiers (Eds.), Proof technology in mathematics research and teaching (Virtual manipulatives and students’ counterexamples during provingの執筆)2019
- Author(s)
  Komatsu, K., & Jones, K.
- Total Pages
  379
- Publisher
  Springer
- ISBN
  9783030284831
- Data Source
  KAKENHI-PROJECT-18K18636
[Book] G. Hanna, D. A. Reid, & M. de Villiers (Eds.), Proof technology in mathematics research and teaching (Virtual manipulatives and students’ counterexamples during provingの執筆)2019
- Author(s)
  Komatsu, K., & Jones, K.
- Total Pages
  379
- Publisher
  Springer
- ISBN
  9783030284831
- Data Source
  KAKENHI-PROJECT-19H01668
[Book] 吉田武男（監修），清水美憲（編著），『初等算数科教育』算数科教育の実践?A：図形の学習指導2018
- Author(s)
  小松孝太郎
- Total Pages
  200
- Publisher
  ミネルバ書房
- ISBN
  462308602X
- Data Source
  KAKENHI-PROJECT-16H02068
[Book] 算数科教育学研究会(編), 『新版算数科教育研究』小数・分数の乗法・除法2018
- Author(s)
  小松孝太郎
- Total Pages
  218
- Publisher
  東洋館
- ISBN
  9784491036816
- Data Source
  KAKENHI-PROJECT-16H02068
[Book] 算数・数学科教育（藤井斉亮編著）（作図と論証，pp. 191-197）2015
- Author(s)
  小松孝太郎
- Total Pages
  256
- Publisher
  一藝社
- Data Source
  KAKENHI-PROJECT-23330255
[Book] 「作図と論証」藤井斉亮編著『算数・数学科教育』（pp.191–197）2015
- Author(s)
  小松孝太郎
- Total Pages
  256
- Publisher
  一藝社
- Data Source
  KAKENHI-PROJECT-26282039
[Book] 算数・数学科教育2015
- Author(s)
  藤井斉亮・小松孝太郎・他29名
- Total Pages
  256
- Publisher
  一藝社
- Data Source
  KAKENHI-PROJECT-15H05402
[Book] 算数・数学教育における証明指導の改善2014
- Author(s)
  小松孝太郎
- Total Pages
  279
- Publisher
  東洋館出版社
- Data Source
  KAKENHI-PROJECT-24243077
[Book] 算数・数学教育における証明指導の改善2014
- Author(s)
  小松孝太郎
- Total Pages
  279
- Publisher
  東洋館出版社
- Data Source
  KAKENHI-PROJECT-24730730
[Book] 算数・数学教育における証明指導の改善2014
- Author(s)
  小松孝太郎
- Total Pages
  279
- Publisher
  東洋館出版社
- Data Source
  KAKENHI-PROJECT-23330255
[Book] 数学の学習論・学習者論,教科教育の理論と授業II2012
- Author(s)
  小松孝太郎
- Publisher
  東京:協同出版
- Data Source
  KAKENHI-PROJECT-22830035
[Book] 『教科教育の理論と授業II:数理編』「数学の学習論・学習者論」(第I部第5章)を執筆(大高泉・清水美憲編)2012
- Author(s)
  小松孝太郎
- Publisher
  協同出版
- Data Source
  KAKENHI-PROJECT-22830035
[Book] 『教科教育の理論と授業II:数理編』「数学の学習論・学習者論」(第I部第5章)を執筆(大高泉・清水美憲編)2012
- Author(s)
  小松孝太郎
- Publisher
  協同出版
- Data Source
  KAKENHI-PROJECT-23330255
[Book] 数学の学習論・学習者論,大高泉・清水美憲(編著),『教科教育の理論と授業:数理編(新教職教育講座シリーズ第6巻)』(第I部第5章)2012
- Author(s)
  小松孝太郎
- Publisher
  協同出版
- Data Source
  KAKENHI-PROJECT-20330181
[Book] 『教科教育の理論と授業II:数理編』「数学の学習論・学習者論」(第I 部第5章)を執筆(大高泉・清水美憲編)2012
- Author(s)
  小松孝太郎
- Publisher
  協同出版
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] The discovery function of proving by mathematical induction2023
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 179-186
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H01668
[Journal Article] 学校数学における課題設計原理の開発に関する研究の枠組み2023
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌数学教育
  
  Volume: 105(1) Pages: 2-13
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] The discovery function of proving by mathematical induction2023
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 印刷中
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] 学校数学における課題設計原理の開発に関する研究の枠組み2023
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌数学教育
  
  Volume: 105(1) Pages: 2-13
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H01668
[Journal Article] Generating mathematical knowledge in the classroom through proof, refutation, and abductive reasoning2022
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  Educational Studies in Mathematics
  
  Volume: 109(3) Issue: 3 Pages: 567-591
- DOI
  10.1007/s10649-021-10086-5
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01668, KAKENHI-PROJECT-18K18636
[Journal Article] Toulmin analysis of meta-mathematical argumentation in a Japanese grade 8 classroom2022
- Author(s)
  Reid, D., Shinno, Y., Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 1 Pages: 234-241
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] Teachers’ Assessment Factors of Students’ Non-Cognitive Skills: Analysis of a Survey in the Area of “Data Handling” in Junior High School Mathematics2022
- Author(s)
  青山和裕・辻山洋介・小松孝太郎・永田潤一郎・吉川厚
- Journal Title
  
  Journal of Science Education in Japan
  
  Volume: 46 Issue: 1 Pages: 91-103
- DOI
  10.14935/jssej.46.91
- ISSN
  0386-4553, 2188-5338
- Language
  Japanese
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H01668, KAKENHI-PROJECT-20K02904, KAKENHI-PROJECT-18K18636, KAKENHI-PROJECT-20H01675, KAKENHI-PROJECT-20H00098
[Journal Article] Toulmin analysis of meta-mathematical argumentation in a Japanese grade 8 classroom2021
- Author(s)
  Reid, D., Shinno, Y., Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 1 Pages: 234-241
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01668
[Journal Article] Toulmin analysis of meta-mathematical argumentation in a Japanese grade 8 classroom2021
- Author(s)
  Reid, D., Shinno, Y., Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] Interplay between paper-and-pencil activity and dynamic-geometry-environment use during generalisation and proving2020
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  Digital Experiences in Mathematics Education
  
  Volume: 6(2) Issue: 2 Pages: 123-143
- DOI
  10.1007/s40751-020-00067-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636, KAKENHI-PROJECT-19H01668
[Journal Article] Task design for developing students’ recognition of the roles of assumptions in mathematical activity2019
- Author(s)
  Komatsu, K., Stylianides, G. J, & Stylianides, A. J.
- Journal Title
  
  Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Task design principles for heuristic refutation in dynamic geometry environments2019
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  International Journal of Science and Mathematics Education
  
  Volume: 17(4) Issue: 4 Pages: 801-824
- DOI
  10.1007/s10763-018-9892-0
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402, KAKENHI-PROJECT-18K18636, KAKENHI-PROJECT-19H01668
[Journal Article] Curriculum development for explorative proving in lower secondary school geometry: Focusing on the levels of planning and constructing a proof2019
- Author(s)
  Miyazaki, M., Nagata, J., Chino, K., Sasa, H., Fujita, T., Komatsu, K., & Shimizu, S.
- Journal Title
  
  Frontiers in Education
  
  Volume: 4(31)
- DOI
  10.3389/feduc.2019.00031
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402, KAKENHI-PROJECT-17K04764, KAKENHI-PROJECT-18K18636, KAKENHI-PROJECT-18K18637, KAKENHI-PROJECT-16H02068, KAKENHI-PROJECT-18H01021, KAKENHI-PROJECT-19H01668, KAKENHI-PROJECT-16H03057
[Journal Article] Task design principles for heuristic refutation in dynamic geometry environments2019
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  International Journal of Science and Mathematics Education
  
  Volume: 17(4)
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] The Role of “Opportunity to Learn” in the Geometry Curriculum: A Multilevel Comparison of Six Countries2019
- Author(s)
  Bokhove Christian、Miyazaki Mikio、Komatsu Kotaro、Chino Kimiho、Leung Allen、Mok Ida Ah Chee
- Journal Title
  
  Frontiers in Education
  
  Volume: 4:63
- DOI
  10.3389/feduc.2019.00063
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K04764, KAKENHI-PROJECT-18K18636, KAKENHI-PROJECT-18K18637, KAKENHI-PROJECT-16H02068, KAKENHI-PROJECT-18H01021, KAKENHI-PROJECT-19H01668, KAKENHI-PROJECT-16H03057
[Journal Article] Task design for developing students’ recognition of the roles of assumptions in mathematical activity2019
- Author(s)
  Komatsu, K., Stylianides, G. J, & Stylianides, A. J.
- Journal Title
  
  Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] 課題探究として証明することを実現する指導法の開発：領域「データの活用」に焦点をあてて2018
- Author(s)
  小松孝太郎・永田潤一郎・辻山洋介
- Journal Title
  
  日本数学教育学会春期研究大会論文集
  
  Volume: 6 Pages: 81-88
- NAID
  40022277718
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] Secondary school students’ appraisal of mathematical proofs2018
- Author(s)
  Komatsu, K., Yamazaki, M., Fujita, T., Jones, K., & Sue, N.
- Journal Title
  
  Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 227-234
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Domain-specific frameworks for curriculum development of explorative proving in junior high school mathematics2018
- Author(s)
  Miyazaki, M., Nakagawa, H., Chino, K., Iwata, K., Komatsu K., & Fujita, T.
- Journal Title
  
  School mathematics curriculum reforms: Challenges, changes and opportunities (ICMI Study 24 conference proceedings)
  
  Volume: - Pages: 269-276
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] Domain-specific frameworks for curriculum development of explorative proving in junior high school mathematics2018
- Author(s)
  Miyazaki, M., Nakagawa, H., Chino, K., Iwata, K., Komatsu K., & Fujita, T.
- Journal Title
  
  School mathematics curriculum reforms: Challenges, changes and opportunities (ICMI Study 24 conference proceedings)
  
  Volume: - Pages: 269-276
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Secondary school students’ appraisal of mathematical proofs2018
- Author(s)
  Komatsu, K., Yamazaki, M., Fujita, T., Jones, K., & Sue, N.
- Journal Title
  
  Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 227-234
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Journal Article] Secondary school students’ appraisal of mathematical proofs2018
- Author(s)
  Komatsu, K., Yamazaki, M., Fujita, T., Jones, K., & Sue, N.
- Journal Title
  
  Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 227-234
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] Explanatory unification by proofs in school mathematics2018
- Author(s)
  Komatsu, K., Fujita, T., Jones, K., & Sue, N.
- Journal Title
  
  For the Learning of Mathematics
  
  Volume: 38(1) Pages: 31-37
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] 課題探究として証明することのカリキュラム開発と実践：領域「資料の活用」における取り組み2017
- Author(s)
  青山和裕・永田潤一郎・辻山洋介・小松孝太郎
- Journal Title
  
  愛知教育大学数学教育学会誌イプシロン
  
  Volume: 59 Pages: 27-36
- NAID
  120006460718
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Proofs and refutations in school mathematics: A task design in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education
  
  Volume: 無
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26282039
[Journal Article] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における指導法の開発に向けて2017
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎・廣瀬俊哉
- Journal Title
  
  日本科学教育学会年会論文集
  
  Volume: 41 Pages: 45-48
- NAID
  130007436138
- Open Access
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] 課題探究として証明することのカリキュラム開発と実践：領域‘資料の活用’における取り組み2017
- Author(s)
  青山和裕・永田潤一郎・辻山洋介・小松孝太郎
- Journal Title
  
  愛知教育大学数学教育学会誌イプシロン
  
  Volume: 59 Pages: 27-36
- NAID
  120006460718
- Open Access
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] 課題探究として証明することのカリキュラム開発と実践：領域「資料の活用」における取り組み2017
- Author(s)
  青山和裕・永田潤一郎・辻山洋介・小松孝太郎
- Journal Title
  
  愛知教育大学数学教育学会誌イプシロン
  
  Volume: 59 Pages: 27-36
- NAID
  120006460718
- Data Source
  KAKENHI-PROJECT-26282039
[Journal Article] Fostering empirical examination after proof construction in secondary school geometry2017
- Author(s)
  Komatsu, K.
- Journal Title
  
  Educational Studies in Mathematics
  
  Volume: 96(2) Issue: 2 Pages: 129-144
- DOI
  10.1007/s10649-016-9731-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26282039, KAKENHI-PROJECT-15H05402, KAKENHI-PROJECT-16H02068
[Journal Article] Proofs and refutations in school mathematics: A task design in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Journal Title
  
  Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Proof validation and modification in secondary school geometry2017
- Author(s)
  Komatsu, K., Jones, K., Ikeda, T., & Narazaki, A.
- Journal Title
  
  Journal of Mathematical Behavior
  
  Volume: 47 Pages: 1-15
- DOI
  10.1016/j.jmathb.2017.05.002
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26282039, KAKENHI-PROJECT-15H05402, KAKENHI-PROJECT-16H02068
[Journal Article] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化の試み2016
- Author(s)
  髙橋伸茂，青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Journal Title
  
  日本科学教育学会年会論文集
  
  Volume: 40 Pages: 97-100
- NAID
  130007436471
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化に向けて2016
- Author(s)
  青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Journal Title
  
  日本科学教育学会年会論文集
  
  Volume: 40 Pages: 93-96
- NAID
  130007436527
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry2016
- Author(s)
  Komatsu, K., Ishikawa, T., & Narazaki, A.
- Journal Title
  
  Proceedings of the 13th International Congress on Mathematical Education
  
  Volume: -
- NAID
  120007100761
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15H05402
[Journal Article] Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry2016
- Author(s)
  Komatsu, K., Ishikawa, T., & Narazaki, A.
- Journal Title
  
  Proceedings of the 13th International Congress on Mathematical Education
  
  Volume: 無
- NAID
  120007100761
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26282039
[Journal Article] Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry2016
- Author(s)
  Komatsu, K., Ishikawa, T., & Narazaki, A.
- Journal Title
  
  Proceedings of the 13th International Congress on Mathematical Education
  
  Volume: 未定
- NAID
  120007100761
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] A framework for proofs and refutations in school mathematics: Increasing content by deductive guessing2016
- Author(s)
  Komatsu, K.
- Journal Title
  
  Educational Studies in Mathematics
  
  Volume: 未定 Issue: 2 Pages: 147-162
- DOI
  10.1007/s10649-015-9677-0
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23330255, KAKENHI-PROJECT-16H02068, KAKENHI-PROJECT-15H05402, KAKENHI-PROJECT-26282039
[Journal Article] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における『内容－活動対応表』の作成2016
- Author(s)
  辻山洋介，永田潤一郎，青山和裕，小松孝太郎
- Journal Title
  
  日本数学教育学会第４回春期研究大会論文集
  
  Volume: 無 Pages: 173-176
- NAID
  40022277880
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26282039
[Journal Article] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における『内容－活動対応表』の作成2016
- Author(s)
  辻山洋介，永田潤一郎，青山和裕，小松孝太郎
- Journal Title
  
  日本数学教育学会　春期研究大会論文集
  
  Volume: 4 Pages: 173-176
- NAID
  40022277880
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16H02068
[Journal Article] 課題探究として証明することのカリキュラム開発：領域「資料の活用」の開発枠組みの構築2015
- Author(s)
  永田潤一郎，青山和裕，辻山洋介，小松孝太郎
- Journal Title
  
  日本数学教育学会　春期研究大会論文集
  
  Volume: 3 Pages: 19-22
- NAID
  40022277357
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] 課題探究として証明することのカリキュラム開発：領域「資料の活用」の開発枠組みの構築2015
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎
- Journal Title
  
  日本数学教育学会　第3回春期研究大会
  
  Volume: 無 Pages: 19-22
- NAID
  40022277357
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26282039
[Journal Article] 「円周角と中心角の関係の活用」において課題探究として証明することの授業化2014
- Author(s)
  小松孝太郎・牧野圭介
- Journal Title
  
  日本数学教育学会誌数学教育
  
  Volume: 96(9) Pages: 26-29
- NAID
  110009857083
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Proof problems with diagrams: An opportunity for experiencing proofs and refutations2014
- Author(s)
  Komatsu, K., Tsujiyama, Y., Sakamaki, A., & Koike, N.
- Journal Title
  
  For the Learning of Mathematics
  
  Volume: 34(1) Pages: 36-42
- NAID
  120007100999
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] 「円周角と中心角の関係の活用」において課題探究として証明することの授業化2014
- Author(s)
  小松孝太郎・牧野圭介
- Journal Title
  
  日本数学教育学会誌『数学教育』
  
  Volume: 96(9) Pages: 26-29
- NAID
  110009857083
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Rethinking the discovery function of proof within the context of proofs and refutations2014
- Author(s)
  Komatsu, K., Tsujiyama, Y., & Sakamaki, A.
- Journal Title
  
  International Journal of Mathematical Education in Science and Technology
  
  Volume: 45(7) Issue: 7 Pages: 1053-1067
- DOI
  10.1080/0020739x.2014.902135
- NAID
  120007100998
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23330255, KAKENHI-PROJECT-24243077, KAKENHI-PROJECT-24730730, KAKENHI-PROJECT-24830017, KAKENHI-PROJECT-26282039, KAKENHI-PROJECT-26780504
[Journal Article] Invention of new statements for counterexamples2014
- Author(s)
  Komatsu, K., & Sakamaki, A.
- Journal Title
  
  Proceedings of the Joint Meeting of PME 38 and PME-NA 36
  
  Volume: 4 Pages: 17-24
- NAID
  120007101000
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Invention of new statements for counterexamples2014
- Author(s)
  Komatsu, K., & Sakamaki, A.
- Journal Title
  
  Proceedings of the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the North American Chapter of the Psychology of Mathematics Education (PME-NA 36)
  
  Volume: -
- NAID
  120007101000
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Proof problems with diagrams: An opportunity for experiencing proofs and refutations2014
- Author(s)
  Komatsu, K., Tsujiyama, Y., Sakamaki, A., & Koike, N.
- Journal Title
  
  For the Learning of Mathematics
  
  Volume: 34(1) Pages: 36-42
- NAID
  120007100999
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Invention of new statements for counterexamples2014
- Author(s)
  Komatsu, K., & Sakamaki, A.
- Journal Title
  
  Proceedings of the Joint Meeting of PME 38 and PME-NA 36
  
  Volume: 4 Pages: 17-24
- NAID
  120007101000
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Proof problems with diagrams: An opportunity for experiencing proofs and refutations2014
- Author(s)
  Komatsu, K., Tsujiyama, Y., Sakamaki, A., & Koike, N.
- Journal Title
  
  For the Learning of Mathematics
  
  Volume: 34(1) Pages: 36-42
- NAID
  120007100999
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 22nd ICMI Study Conference: Task Design in Mathematics Education
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 22nd ICMI Study Conference: Task Design in Mathematics Education
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Task Design in Mathematics Education: Proceedings of ICMI Study 22
  
  Volume: 1 Pages: 471-479
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] 課題探究として証明することのカリキュラム開発：中学校第３学年数学科の領域「数と式」及び「図形」における学習の構想2013
- Author(s)
  永田潤一郎，小松孝太郎，中川裕之
- Journal Title
  
  日本数学教育学会　第１回春期研究大会論文集
  
  Volume: 1 Pages: 25-32
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Proceedings of the 22nd ICMI Study Conference: Task Design in Mathematics Education
  
  Volume: 1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Task Design in Mathematics Education: Proceedings of ICMI Study 22
  
  Volume: 1 Pages: 471-479
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013
- Author(s)
  Komatsu, K., & Tsujiyama, Y.
- Journal Title
  
  Task Design in Mathematics Education: Proceedings of ICMI Study 22
  
  Volume: - Pages: 471-479
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] 課題探究として証明することのカリキュラム開発：中学校第３学年数学科の領域「数と式」及び「図形」における学習の構想2013
- Author(s)
  永田潤一郎，小松孝太郎，中川裕之
- Journal Title
  
  日本数学教育学会　第１回春期研究大会論文集
  
  Volume: 1 Pages: 25-32
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Lakatos’ heuristic rules as a framework for proofs and refutations in mathematical learning: Local-counterexample and modification of proof2012
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 12th International Congress on Mathematical Education(ICME-12)
  
  Volume: 1 Pages: 2838-2847
- NAID
  120007100930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Lakatos’ heuristic rules as a framework for proofs and refutations in mathematical learning: Localcounterexample and modification of proof2012
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 12th International Congress on Mathematical Education(ICME-12)
  
  Volume: - Pages: 2838-2847
- NAID
  120007100930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012
- Author(s)
  Miyazaki, Mikio; Kimiho, Chino; Katoh, Ryuhei; Arai, Hitoshi; Ogihara, Fumihiro; Oguchi, Yuichi; Morozumi, Tatsuo; Kon, Mayuko; Komatsu, Kotaro
- Journal Title
  
  International Journal for Technology in Mathematics Education
  
  Volume: 19(2) Pages: 73-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012
- Author(s)
  Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., Komatsu, K.
- Journal Title
  
  The International Journal for Technology in Mathematics Education
  
  Volume: 19(2)(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] Potentials for spatial geometry curriculum development with three-dimensional dynamic geometry software in lower secondary mathematics2012
- Author(s)
  Miyazaki, M., Chino, K., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., & Komatsu, K.
- Journal Title
  
  The International Journal for Technology in Mathematics Education
  
  Volume: 19(2) Pages: 73-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Lakatos’ heuristic rules as a framework for proofs and refutations in mathematical learning: Local-counterexample and modification of proof2012
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 12th International Congress on Mathematical Education
  
  Volume: - Pages: 2838-2847
- NAID
  120007100930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24730730
[Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012
- Author(s)
  Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., and Komatsu, K.
- Journal Title
  
  International Journal for Technology in Mathematics Education
  
  Volume: 19(2) Pages: 73-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24243077
[Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012
- Author(s)
  Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., and Komatsu, K
- Journal Title
  
  The International Journal for Technology in Mathematics Education
  
  Volume: 19(2)(in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] How do students generalize a conjecture through proving? : The importance of boundary cases between example and counterexample2011
- Author(s)
  Komatsu Kotaro
- Journal Title
  
  Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: Vol.3 Pages: 89-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22830035
[Journal Article] ラカトシュの可謬主義から見た数学的探究とその教育的意義2011
- Author(s)
  小松孝太郎
- Journal Title
  
  科学教育研究
  
  Volume: 35(3) Pages: 272-286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] ラカトシュの可謬主義から見た数学的探究とその教育的意義2011
- Author(s)
  小松孝太郎
- Journal Title
  
  科学教育研究
  
  Volume: 35(3) Pages: 272-286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22830035
[Journal Article] How do students generalize a conjecture through proving?: The importance of boundary cases between example and counterexample2011
- Author(s)
  Komatsu, K
- Journal Title
  
  Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: Vol.3 Pages: 89-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] ラカトシュの可謬主義から見た数学的探究とその教育的意義2011
- Author(s)
  小松孝太郎
- Journal Title
  
  『科学教育研究』(日本科学教育学会)
  
  Volume: 第35巻第3号 Pages: 272-286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22830035
[Journal Article] How do students generalize a conjecture through proving? : The importance of boundary cases between example and counterexample2011
- Author(s)
  Komatsu Kotaro
- Journal Title
  
  Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 89-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] ラカトシュの可謬主義から見た数学的探究とその教育的意義2011
- Author(s)
  小松孝太郎
- Journal Title
  
  科学教育研究
  
  Volume: 第35巻第3号 Pages: 272-286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] How do students generalize a conjecture through proving? : The importance of boundary cases between example and counterexample2011
- Author(s)
  Komatsu Kotaro
- Journal Title
  
  Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: Vol.3 Pages: 89-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23330255
[Journal Article] How do studentsgeneralize a conjecture throughproving?: The importance of boundarycases between example andcounterexample. In B. Ubuz(Ed.)2011
- Author(s)
  Komatsu, K.
- Journal Title
  
  Proceedings of the 35th Conference ofthe International Group for thePsychology of Mathematics Education
  
  Volume: Vol.3 Pages: 89-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22830035
[Journal Article] 数学的探究におけるaction proofの活用の促進:事例研究を通して2010
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌数学教育学論究
  
  Volume: 第93号 Pages: 3-29
- NAID
  110007609878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22830035
[Journal Article] 数学的探究におけるaction proofの活用の促進:事例研究を通して2010
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌数学教育学論究
  
  Volume: 91 Pages: 3-29
- NAID
  110007609878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] 数学的探究におけるaction proofの活用の促進:事例研究を通して2010
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌
  
  Volume: 91巻 Pages: 3-29
- NAID
  110007609878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Journal Article] 数学的探究におけるaction proofの活用の促進:事例研究を通して2010
- Author(s)
  小松孝太郎
- Journal Title
  
  日本数学教育学会誌数学教育学論究 91巻
  
  Pages: 3-29
- NAID
  110007609878
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20330181
[Presentation] 学校数学における課題設計原理の開発に関する研究（２）2023
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第11回春期研究大会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] International perspectives on proof: Recent results and future directions2023
- Author(s)
  Sommerhoff, D., & Komatsu, K.
- Organizer
  The 46th Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 数学的帰納法による証明活動の発見機能のための課題設計原理2023
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第11回春期研究大会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] Approaches to analysing classroom argumentation2022
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  The 44th Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 学校数学における課題設計原理の開発に関する研究の枠組み2022
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第10回春期研究大会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 学校数学における課題設計原理の開発に関する研究の枠組み2022
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第10回春期研究大会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] Approaches to analysing classroom argumentation2022
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  The 44th Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 学校数学における課題設計原理の開発に関する研究2022
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第10回春期研究大会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 学校数学における課題設計原理の開発に関する研究2022
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第10回春期研究大会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] PME44におけるコロキウム開催の報告：Approaches to analysing classroom argumentation2021
- Author(s)
  真野祐輔・小松孝太郎・辻山洋介・宮川健
- Organizer
  日本数学教育心理研究学会令和3年度秋期研究集会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査結果の考察2019
- Author(s)
  辻山洋介・青山和裕・小松孝太郎・永田潤一郎・吉川厚
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] The role of ‘opportunity to learn’ in the geometry curriculum: A multilevel comparison of six countries2019
- Author(s)
  Bokhove, C., Miyazaki, M., Leung, A., Mok, I., Komatsu, K., & Chino, K.
- Organizer
  2019 American Educational Research Association Annual Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Task design with DGEs: The case of students’ counterexamples2019
- Author(s)
  Jones, K., & Komatsu, K.
- Organizer
  The Eleventh Congress of the European Society for Research in Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査結果の考察2019
- Author(s)
  辻山洋介・青山和裕・小松孝太郎・永田潤一郎・吉川厚
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査結果の考察2019
- Author(s)
  辻山洋介・青山和裕・小松孝太郎・永田潤一郎・吉川厚
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 前提の役割に関する生徒の認識を育成するための課題設計2019
- Author(s)
  小松孝太郎・Andreas J. Stylianides・Gabriel J. Stylianides・和田聖国
- Organizer
  日本数学教育学会第52回秋期研究大会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 前提の役割に関する生徒の認識を育成するための課題設計2019
- Author(s)
  小松孝太郎・Andreas J. Stylianides・Gabriel J. Stylianides・和田聖国
- Organizer
  日本数学教育学会第52回秋期研究大会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 授業過程の研究手法としてのアーギュメンテーション分析2019
- Author(s)
  真野祐輔・David A. Reid・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] The role of ‘opportunity to learn’ in the geometry curriculum: A multilevel comparison of six countries2019
- Author(s)
  Bokhove, C., Miyazaki, M., Leung, A., Mok, I., Komatsu, K., & Chino, K.
- Organizer
  2019 American Educational Research Association Annual Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 前提の役割に関する生徒の認識を育成するための課題設計2019
- Author(s)
  小松孝太郎・Andreas J. Stylianides・Gabriel J. Stylianides・和田聖国
- Organizer
  日本数学教育学会第52回秋期研究大会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] Task design with DGEs: The case of students’ counterexamples2019
- Author(s)
  Jones, K., & Komatsu, K.
- Organizer
  The Eleventh Congress of the European Society for Research in Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] The role of ‘opportunity to learn’ in the geometry curriculum: A multilevel comparison of six countries2019
- Author(s)
  Bokhove, C., Miyazaki, M., Leung, A., Mok, I., Komatsu, K., & Chino, K.
- Organizer
  2019 American Educational Research Association Annual Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 授業過程の研究手法としてのアーギュメンテーション分析2019
- Author(s)
  真野祐輔・David A. Reid・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 授業過程の研究手法としてのアーギュメンテーション分析2019
- Author(s)
  真野祐輔・David A. Reid・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第43回年会
- Data Source
  KAKENHI-PROJECT-19H01668
[Presentation] 課題探究として証明することを実現する指導法の開発：領域「データの活用」に焦点をあてて2018
- Author(s)
  小松孝太郎・永田潤一郎・辻山洋介
- Organizer
  日本数学教育学会第6回春期研究大会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することを実現する指導法の開発：領域「データの活用」に焦点をあてて2018
- Author(s)
  小松孝太郎・永田潤一郎・辻山洋介
- Organizer
  日本数学教育学会第6回春期研究大会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] Secondary school students’ appraisal of mathematical proofs2018
- Author(s)
  Komatsu, K., Yamazaki, M., Fujita, T., Jones, K., & Sue, N.
- Organizer
  the 42nd Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査内容について2018
- Author(s)
  永田潤一郎・青山和裕・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第42回年会
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 課題探究として証明することを実現する指導法の開発：領域「データの活用」に焦点をあてて2018
- Author(s)
  小松孝太郎・永田潤一郎・辻山洋介
- Organizer
  日本数学教育学会第6回春期研究大会
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査内容について2018
- Author(s)
  永田潤一郎・青山和裕・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第42回年会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 科学教育の内容・活動に固有な非認知的スキルの評価法の開発：領域「データの活用」における調査内容について2018
- Author(s)
  永田潤一郎・青山和裕・小松孝太郎・辻山洋介
- Organizer
  日本科学教育学会第42回年会
- Data Source
  KAKENHI-PROJECT-18K18636
[Presentation] 証明と論駁を通じての数学的知識の生成2017
- Author(s)
  小松孝太郎・Keith Jones
- Organizer
  日本数学教育学会第50回秋期研究大会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] Interpretation of diagrams in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  the 41st Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 証明と論駁を通じての数学的知識の生成2017
- Author(s)
  小松孝太郎・Keith Jones
- Organizer
  日本数学教育学会第50回秋期研究大会
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 領域固有な方法知を生成しようとする態度を養うタスクデザイン2017
- Author(s)
  宮崎樹夫, 茅野公穂, 小松孝太郎, 松永泰幸, Bokhove, C., Leung, A., & Mok, I.
- Organizer
  日本科学教育学会第41回年会
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における指導法の開発に向けて2017
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎・廣瀬俊哉
- Organizer
  日本科学教育学会第41回年会
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] Interpretation of diagrams in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  The 41st Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Diagrams in students’ proving activity in secondary school geometry2017
- Author(s)
  Jones, K., & Komatsu, K.
- Organizer
  the Tenth Congress of the European Society for Research in Mathematics Education
- Place of Presentation
  Dublin, Ireland
- Year and Date
  2017-02-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] Diagrams in students’ proving activity in secondary school geometry2017
- Author(s)
  Jones, K., & Komatsu, K.
- Organizer
  The Tenth Congress of the European Society for Research in Mathematics Education
- Place of Presentation
  Croke Park, Ireland
- Year and Date
  2017-02-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 証明と論駁を通じての数学的知識の生成2017
- Author(s)
  小松孝太郎・Keith Jones
- Organizer
  日本数学教育学会第50回秋期研究大会
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] Proofs and refutations in school mathematics: A task design in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  the Tenth Congress of the European Society for Research in Mathematics Education
- Place of Presentation
  Dublin, Ireland
- Year and Date
  2017-02-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 領域固有な方法知を生成しようとする態度を養うタスクデザイン：オープンな場面で証明することを例として2017
- Author(s)
  宮﨑樹夫・茅野公穂・小松孝太郎・松永泰幸・Christian Bokhove・Allen Leung Y. L.・Mok Ida A. C.
- Organizer
  日本科学教育学会第41回年会
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Unification by proofs: The case of star polygon2017
- Author(s)
  Komatsu, K., Fujita, T., Jones, K., & Sue, N.
- Organizer
  British Society for Research into Learning Mathematics
- Place of Presentation
  London, UK
- Year and Date
  2017-03-04
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における指導法の開発に向けて2017
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎・廣瀬俊哉
- Organizer
  日本科学教育学会第41回年会
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] Unification by proofs: The case of star polygon2017
- Author(s)
  Komatsu, K., Fujita, T., Jones, K., & Sue, N.
- Organizer
  British Society for Research into Learning Mathematics
- Place of Presentation
  University of London, UK
- Year and Date
  2017-03-04
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における指導法の開発に向けて2017
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎・廣瀬俊哉
- Organizer
  日本科学教育学会第41回年会
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Interpretation of diagrams in dynamic geometry environments2017
- Author(s)
  Komatsu, K., & Jones, K.
- Organizer
  The 41st Conference of the International Group for the Psychology of Mathematics Education
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における『内容－活動対応表』の作成2016
- Author(s)
  辻山洋介，永田潤一郎，青山和裕，小松孝太郎
- Organizer
  日本数学教育学会　第４回春期研究大会
- Place of Presentation
  埼玉大学
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化に向けて2016
- Author(s)
  青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  日本科学教育学会年会
- Place of Presentation
  ホルトホール大分（大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における「内容－活動対応表」の作成2016
- Author(s)
  辻山洋介・永田潤一郎・青山和裕・小松孝太郎
- Organizer
  日本数学教育学会第4回春期研究大会
- Place of Presentation
  埼玉大学
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry.2016
- Author(s)
  Komatsu, K., Ishikawa, T., & Narazaki, A.
- Organizer
  the 13th International Congress on Mathematical Education
- Place of Presentation
  Hamburg, Germany
- Year and Date
  2016-07-24
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における授業化に向けて2016
- Author(s)
  青山和裕・辻山洋介・永田潤一郎・小松孝太郎
- Organizer
  日本科学教育学会第40回年会
- Place of Presentation
  ホルトホール大分（大分県大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] Interpretation and production of diagrams when tackling proof problems in a dynamic geometry environment2016
- Author(s)
  Komatsu, K. & Jones, K.
- Organizer
  British Society for Research into Learning Mathematics
- Place of Presentation
  University of Brighton, UK
- Year and Date
  2016-11-12
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における授業化に向けて2016
- Author(s)
  青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  第40回日本科学教育学会年会
- Place of Presentation
  ホルトホール大分
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化の試み2016
- Author(s)
  青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  日本科学教育学会第49回年会
- Place of Presentation
  ホルトホール大分（大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化の試み2016
- Author(s)
  髙橋伸茂，青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  日本科学教育学会年会
- Place of Presentation
  ホルトホール大分（大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における『内容－活動対応表』の作成2016
- Author(s)
  辻山洋介，永田潤一郎，青山和裕，小松孝太郎
- Organizer
  日本数学教育学会　第４回春期研究大会
- Place of Presentation
  埼玉大学
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における授業化の試み2016
- Author(s)
  髙橋伸茂，青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  第40回日本科学教育学会年会
- Place of Presentation
  ホルトホール大分
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] Interpretation and production of diagrams when tackling proof problems in a dynamic geometry environment2016
- Author(s)
  Komatsu, K. & Jones, K.
- Organizer
  British Society for Research into Learning Mathematics
- Place of Presentation
  University of Brighton
- Year and Date
  2016-11-12
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02068
[Presentation] 課題探究として証明することのカリキュラム開発：領域『資料の活用』における授業化に向けて2016
- Author(s)
  青山和裕，辻山洋介，永田潤一郎，小松孝太郎
- Organizer
  日本科学教育学会第49回年会
- Place of Presentation
  ホルトホール大分（大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における授業化の試み2016
- Author(s)
  髙橋伸茂・青山和裕・辻山洋介・永田潤一郎・小松孝太郎
- Organizer
  日本科学教育学会第40回年会
- Place of Presentation
  ホルトホール大分（大分県大分市）
- Year and Date
  2016-08-19
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 課題探究として証明することの授業化と評価の試み：中学校第三学年における証明の評価・改善に焦点を当てて2015
- Author(s)
  小松孝太郎・石川智之
- Organizer
  日本数学教育学会第48回秋期研究大会
- Place of Presentation
  信州大学
- Year and Date
  2015-11-07
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 課題探究として証明することの授業化と評価の試み：中学校第三学年における証明の評価・改善に焦点を当てて2015
- Author(s)
  小松孝太郎・石川智之
- Organizer
  日本数学教育学会第48回秋期研究大会
- Place of Presentation
  信州大学
- Year and Date
  2015-11-07
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」の開発枠組みの構築2015
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎
- Organizer
  日本数学教育学会　第３回春期研究大会
- Place of Presentation
  東京理科大学
- Year and Date
  2015-06-28
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 課題探究として証明することのカリキュラム開発：領域「資料の活用」における「内容－活動対応表」の作成2015
- Author(s)
  辻山洋介・永田潤一郎・青山和裕・小松孝太郎
- Organizer
  日本数学教育学会　第３回春期研究大会
- Place of Presentation
  東京理科大学
- Year and Date
  2015-06-28
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 課題探究として証明することのカリキュラム開発：領域‘資料の活用’の開発枠組みの構築2015
- Author(s)
  永田潤一郎・青山和裕・辻山洋介・小松孝太郎
- Organizer
  日本数学教育学会第3回春期研究大会
- Place of Presentation
  東京理科大学
- Year and Date
  2015-06-28
- Data Source
  KAKENHI-PROJECT-15H05402
[Presentation] 中学校第３学年における課題探究として証明することの授業化：第３学年の小単元「円周角と中心角の関係の活用」2014
- Author(s)
  小松孝太郎・牧野圭介
- Organizer
  日本科学教育学会第38回年会
- Place of Presentation
  埼玉大学
- Year and Date
  2014-09-15
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] 学校数学における証明と論駁の活動を促すデザイン実験の構想2014
- Author(s)
  小松孝太郎・辻山洋介
- Organizer
  日本数学教育学会第47回秋期研究大会
- Place of Presentation
  熊本大学
- Year and Date
  2014-11-08
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] 学校数学における反例や負例への対応に関する一考察2013
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第46回秋期研究大会
- Place of Presentation
  宇都宮大学
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] 学校数学における図が付された証明問題の可能性：ラカトシュの演繹的推量に焦点を当てて2013
- Author(s)
  小松孝太郎・辻山洋介・坂巻主太・小池徳男
- Organizer
  日本科学教育学会第37回年会
- Place of Presentation
  三重大学
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 学校数学における図が付された証明問題の可能性：ラカトシュの演繹的推量に焦点を当てて2013
- Author(s)
  小松孝太郎・辻山洋介・坂巻主太・小池徳男
- Organizer
  日本科学教育学会第37回年会
- Place of Presentation
  三重大学
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 課題探究として証明することのカリキュラム開発：中学校数学科第三学年の領域「数と式」及び「図形」における学習の構想2013
- Author(s)
  永田潤一郎・小松孝太郎・中川裕之
- Organizer
  日本数学教育学会第1回春期研究大会
- Place of Presentation
  筑波大学東京キャンパス
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] 学校数学における図が付された証明問題の可能性：ラカトシュの演繹的推量に焦点を当てて2013
- Author(s)
  小松孝太郎・辻山洋介・坂巻主太・小池徳男
- Organizer
  日本科学教育学会第37回年会
- Place of Presentation
  三重大学
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] 学校数学における反例や負例への対応に関する一考察2013
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第46回秋期研究大会
- Place of Presentation
  宇都宮大学
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 学校数学における反例や負例への対応に関する一考察2013
- Author(s)
  小松孝太郎
- Organizer
  日本数学教育学会第46回秋期研究大会
- Place of Presentation
  宇都宮大学
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] Lakatos’ heuristic rules as a framework for proofs and refutations in mathematical learning: Local-counterexample and modification of proof2012
- Author(s)
  Komatsu, K.
- Organizer
  The 12th International Congress on Mathematical Education(ICME-12)
- Place of Presentation
  Soul, Korea
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] Lakatos’ heuristic rules as a framework for proofs and refutations in mathematical learning: Local-counterexample and modification of proof2012
- Author(s)
  Komatsu, K.
- Organizer
  The 12th International Congress on Mathematical Education
- Place of Presentation
  韓国・ソウル
- Data Source
  KAKENHI-PROJECT-24730730
[Presentation] How do students generalize a conjecture through proving? : The importance of boundary cases between example and counterexample2011
- Author(s)
  Kotaro Komatsu
- Organizer
  The 35th Conference of the International Group for the Psychology of Mathematics Education
- Place of Presentation
  Ankara, Turkey
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-22830035
[Presentation] How do students generalize a conjecture through proving?: The importance of boundary cases between example and counterexample.2011
- Author(s)
  Komatsu, K.
- Organizer
  The 35th Conference of the International Group for the Psychology of Mathematics Education
- Place of Presentation
  Ankara, Turkey
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-22830035
[Presentation] How do students generalize a conjecture through proving?: The importance of boundary cases between example and counterexample2011
- Author(s)
  Komatsu, K
- Organizer
  The 35th Conference of the International Group for the Psychology of Mathematics Education
- Place of Presentation
  Ankara, Turkey : Middle East Technical University
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-20330181
[Presentation] An assessment framework for students'abilities/competencies in proving2010
- Author(s)
  Chino, K., Komatsu, K., Miyazaki, M., et al.
- Organizer
  The 5th East Asia Regional Conference on Mathematics Education
- Place of Presentation
  Tokyo
- Data Source
  KAKENHI-PROJECT-20330181
[Presentation] An assessment framework for students' abilities/competencies in proving.2010
- Author(s)
  Chino, K., Fujita, T., Komatsu, K., Makino, T., Miyakawa, T., Miyazaki, M., Mizutani, N., Nakagawa, H., Otsuka, S., & Tsujiyama, Y.
- Organizer
  The 5th East Asia Regional Conference on Mathematics Education
- Place of Presentation
  Tokyo, Japan
- Year and Date
  2010-08-21
- Data Source
  KAKENHI-PROJECT-22830035
[Presentation] An assessment framework for students abilities/competencies in proving2010
- Author(s)
  Chino, K., Komatsu, K., Miyazaki, M., et al
- Organizer
  The 5th East Asia Regional Conference on Mathematics Education
- Place of Presentation
  Tokyo
- Data Source
  KAKENHI-PROJECT-20330181
[Presentation] An assessment framework for students' abilities/competencies in proving2010
- Author(s)
  Chino, K., Fujita, T., Komatsu, K., 他7名
- Organizer
  The 5th East Asia Regional Conference on Mathematics Education
- Place of Presentation
  国立オリンピック記念青少年総合センター
- Year and Date
  2010-08-21
- Data Source
  KAKENHI-PROJECT-22830035
[Presentation] 我が国の数学教育における証明研究の課題と展望2009
- Author(s)
  宮崎樹夫,茅野穂,小松孝太郎, 他
- Organizer
  日本数学教育学会第42回数学教育論文発表会
- Place of Presentation
  静岡
- Data Source
  KAKENHI-PROJECT-20330181
[Presentation] 課題探究として証明することのカリキュラム開発：中学校第３学年数学科の領域「数と式」及び「図形」における学習の構想
- Author(s)
  永田潤一郎，小松孝太郎，中川裕之
- Organizer
  日本数学教育学会　第１回春期研究大会
- Place of Presentation
  筑波大学（東京キャンパス）
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 課題探究として証明することのカリキュラム開発：中学校第３学年数学科の領域「数と式」及び「図形」における学習の構想
- Author(s)
  永田潤一郎，小松孝太郎，中川裕之
- Organizer
  日本数学教育学会　第１回春期研究大会
- Place of Presentation
  筑波大学（東京キャンパス）
- Data Source
  KAKENHI-PROJECT-23330255
[Presentation] 学校数学における証明と論駁の活動を促すデザイン実験の構想
- Author(s)
  小松孝太郎・辻山洋介
- Organizer
  日本数学教育学会第47回秋期研究大会
- Place of Presentation
  熊本大学
- Year and Date
  2014-11-08 – 2014-11-09
- Data Source
  KAKENHI-PROJECT-26282039
[Presentation] 学校数学における証明と論駁の活動を促すデザイン実験の構想
- Author(s)
  小松孝太郎・辻山洋介
- Organizer
  日本数学教育学会第47回秋期研究大会
- Place of Presentation
  熊本大学
- Year and Date
  2014-11-08 – 2014-11-09
- Data Source
  KAKENHI-PROJECT-24243077
[Presentation] 中学校第３学年における課題探究として証明することの授業化：第３学年の小単元「円周角と中心角の関係の活用」
- Author(s)
  小松孝太郎・牧野圭介
- Organizer
  日本科学教育学会第38回年会
- Place of Presentation
  埼玉大学
- Year and Date
  2014-09-13 – 2014-09-15
- Data Source
  KAKENHI-PROJECT-23330255

1. TSUJIYAMA Yosuke (10637440)

# of Collaborated Projects: 6 results

# of Collaborated Products: 41 results
2. CHINO Kimiho (20400658)

# of Collaborated Projects: 5 results

# of Collaborated Products: 6 results
3. MIYAZAKI Mikio (10261760)

# of Collaborated Projects: 5 results

# of Collaborated Products: 8 results
4. 中川裕之 (00450156)

# of Collaborated Projects: 5 results

# of Collaborated Products: 2 results
5. 宮川健 (30375456)

# of Collaborated Projects: 5 results

# of Collaborated Products: 1 results
6. IWATA Koji (90437541)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. NAGATA Junichiro (30413909)

# of Collaborated Projects: 4 results

# of Collaborated Products: 29 results
8. SASA Hiroyuki (30315387)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. IWANAGA Yasuo (80015825)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. 牧野智彦 (10450157)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. 青山和裕 (10400657)

# of Collaborated Projects: 3 results

# of Collaborated Products: 21 results
12. 榎本哲士 (60758811)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 真野祐輔 (10585433)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
14. 濱中裕明 (20294267)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 村田翔吾 (50909471)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. ITO Takehiro (00015827)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KON Mayuko (70507186)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
18. ARAI Hitoshi (40641543)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
19. OGUCHI Yuichi (70405877)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
20. KATO Ryuhei (10618648)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
21. Shimizu Shizumi (20115661)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 水谷尚人 (80454643)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 吉川厚 (50444120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
24. 藤田太郎 (20964711)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 大林将呉 (50983821)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. OGIHARA Fumihiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
27. KITAJIMA Shigeki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. BABA Naoki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. YUMOTO Takeshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Komatsu Kotaro 小松 孝太郎

KOMATSU Kotaro 小松 孝太郎

Research Projects

Research Products

Co-Researchers

数学科教師教育における教材開発原理の活用とその検証：協働型探究活動に焦点を当ててPrincipal Investigator

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The study on the development and evaluation of hybrid learning environments in mathematics

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Developing principles of task design for promoting students' collaborative mathematical inquiry in school mathematicsPrincipal Investigator

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Development of task design principles for promoting mathematical activity involving assumptions in school mathematicsPrincipal Investigator

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Universal Designing of Explorative Curriculum and Evaluation

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Design of task sequences for collaborative mathematical inquiry with dynamic geometry environmentPrincipal Investigator

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Development of Teaching Method based on Curriculum of Explorative Proving and their Verification by Scientific Evidence

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Development and Feasibility of Curriculum for Explorative explanation based on Scientific Evidences

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Construction of framework for describing students' activity of proofs and refutations in mathematical learningPrincipal Investigator

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Development and Realization of Curriculum for Explorative Proving in Secondary School Mathematics

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Development of teaching materials for facilitating students' action proof in mathematical inquiryPrincipal Investigator

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Developing Websites of Explorative Learning for Space Geometry with Three Dimensional Dynamic Geometry Software

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[Book] B. Pepin, G. Gueudet, & J. Choppin (Eds.), Handbook of digital resources in mathematics education (Intertwined use of physical and digital tools in mathematics teaching and learning)2023

Author(s)

Publisher

Komatsu Kotaro 小松孝太郎

KOMATSU Kotaro 小松孝太郎

[Book] 算数科教育学研究会(編), 『新版算数科教育研究』小数・分数の乗法・除法2018